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Finding the Third Proportional to 4,503.38 and 9,781.88

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Solution

The third proportional to 4,503.38 and 9,781.88 is: 21,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,503.38 : 9,781.88 = 9,781.88 : x
  2. Step 2: Convert to fraction form
    4,503.38/9,781.88 = 9,781.88/x
  3. Step 3: Cross multiply
    4,503.38x = 9,781.88 × 9,781.88
  4. Step 4: Simplify right side
    4,503.38x = 95,685,078.52
  5. Step 5: Solve for x
    x = 95,685,078.52/4,503.38
  6. Step 6: Final answer
    x = 21,247.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.